Search a number
-
+
12022100133221 = 79383397332853
BaseRepresentation
bin1010111011110001110100…
…0000100000010101100101
31120120022010211101012020002
42232330131000200111211
53033432230113230341
641322513200351045
72350365564026543
oct256743500402545
946508124335202
1012022100133221
1139155a9123012
121421b69015485
136928aa200ba9
142d7c30b86d93
1515cac822d29b
hexaef1d020565

12022100133221 has 8 divisors (see below), whose sum is σ = 12206065274880. Its totient is φ = 11838929658192.

The previous prime is 12022100133181. The next prime is 12022100133223. The reversal of 12022100133221 is 12233100122021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12022100133221 - 218 = 12022099871077 is a prime.

It is a super-2 number, since 2×120221001332212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12022100133193 and 12022100133202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022100133223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198636170 + ... + 198696683.

It is an arithmetic number, because the mean of its divisors is an integer number (1525758159360).

Almost surely, 212022100133221 is an apocalyptic number.

It is an amenable number.

12022100133221 is a deficient number, since it is larger than the sum of its proper divisors (183965141659).

12022100133221 is an equidigital number, since it uses as much as digits as its factorization.

12022100133221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397333315.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12022100133221 its reverse (12233100122021), we get a palindrome (24255200255242).

The spelling of 12022100133221 in words is "twelve trillion, twenty-two billion, one hundred million, one hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 79 383 30257 397332853 31389295387 152178482699 12022100133221